Answer to Question #267983 in Engineering for ahds

Question

It has been known that a fixed dose of a certain drug results to an

average increase of pulse rate by at least 12 beats per minute with

a standard deviation of 5. A group of 20 patients given the same

dose showed the following increases: 15, 12, 10, 8, 14, 15, 16, 11,

7, 13, 9, 10, 12, 11, 9, 10, 17, 14, 15, 7. Is there proof to show that

this group has a lower average increase of pulse rate than the ones

in general? Use 0.05 level of significance

Answer 1

$$z=\frac{11.75-12}{\frac{5}{\sqrt{20}}}=-0.22$$

It is greater than negative critical value.  There is not proof to show that

this group has a lower average increase of pulse rate than the ones in general at 0.05 level of significance.